Quantum Structures of a Model-Universe: An Inconsistency with Everett Interpretation of Quantum Mechanics

Abstract

We observe a Quantum Brownian Motion (QBM) Model Universe in conjunction with recently established Entanglement Relativity and Parallel Occurrence of Decoherence. The Parallel Occurrence of Decoherence establishes the simultaneous occurrence of decoherence for two mutually irreducible structures (decomposition into subsystems) of the total QBM model universe. First we find that Everett world branching for one structure excludes branching for the alternate structure and in order to reconcile this situation branching cannot be allowed for either of the structures considered. Second, we observe the non-existence of a third, "emergent structure", that could approximate both structures and also be allowed to branch. Ultimately we find unless world-branching requires additional criteria or conditions, or there is a privileged structure, that we provide a valid model that cannot be properly described by the Everett Interpretation of Quantum Mechanics.

Time, Chance and Quantum Theory

“…This potential ambiguity is not peculiar to quantum mechanics: a theory of conscious observers in classical physics would also admit the logical possibility that a single physical structure could admit two different interpretations in terms of conscious beings. It is hard to imagine that this could actually occur with systems complex enough to record experiences; nevertheless, it has been shown that in simpler systems such ambiguous factorisation can arise in quantum mechanics, and that decoherence can be exhibited in both factorisations [11]. This does not show that an understanding based on such factorisation, like that outlined here, is untenable.…”

Classical entanglement structure in the wavefunction of inflationary fluctuations

“…( 5) cannot hold exactly. 8 This is a consequence of the Reeh-Schlieder theorem, 9 which similarly implies that no detector confined to a finite spatial region -as all physical detectors are -can ever record the presence of a particle-eigenstate with perfect accuracy [98]. This might be a signal that the concept of spatially disjoint records will eventually need to be generalized in the relativistic domain, or simply that branches will only ever be well-defined asymptotically (as are particle in-states and out-states).…”

“…This is indeed a significant reduction, as the number of bases is much larger than the number of subsystems, and the subsystems that are feasibly accessible to experiment are much more salient than the bases. Although this is sufficient for most practical purposes, the formal problem of identifying the preferred subsystems 1 from first principles remains [7][8][9].…”

A Top-down versus a Bottom-up Hidden-variables Description of the Stern–Gerlach Experiment

“…While quantum structural studies challenge [26] the interpretations á la Everett [25,27], the discourses regarding the non-universally valid quantum theory [28] as well as "the problem of time" [29][30][31] (and references therein) are in order. To this end, the work is in progress and the results will be presented elsewhere.…”